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Finding the Fourth Proportional to 982.02, 1,470.15 and 774.66

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Solution

The fourth proportional to 982.02, 1,470.15 and 774.66 is: 1,159.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.02 : 1,470.15 = 774.66 : x
  2. Step 2: Convert to fraction form
    982.02/1,470.15 = 774.66/x
  3. Step 3: Cross multiply
    982.02x = 1,470.15 × 774.66
  4. Step 4: Simplify right side
    982.02x = 1,138,866.40
  5. Step 5: Solve for x
    x = 1,138,866.40/982.02
  6. Step 6: Final answer
    x = 1,159.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.